1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
geniusboy [140]
3 years ago
5

Horizontal translation 5 unitss left

Mathematics
1 answer:
castortr0y [4]3 years ago
8 0

Answer:

The Rule for Horizontal Translations:

if y = f(x), then y = f(x-h) gives a vertical translation. The translation h moves the graph to the left when h is a postive value and to the right when h is a negative value.

Step-by-step explanation:

First, let us look at the parent function f(x) = |x|. The graph of this function looks like the following.

Notice that it is symmetric about the y-axis and looks like a v. Now, that we have the parent function and its graph. Let's look at thow the four transformations happen.

Part I: Horizontal and Vertical Translations

First, we must have a definition of the two types of translations. A vertical translation moves the graph up or down. An example of that would be:

 

Here, the red graph has been moved up 10 units and the blue graph has been moved down 10 units. These are the two types of vertical translations.

The other type of translation is a horizontal translation. A horizontal translation moves the graph left or right. An example of this would be:

Here, the red graph has been moved to the left 10 units and the blue graph has been moved to the right 10 units.

Now that we have seen some examples of the these, let's see if we can figure out why these translations happen.

Here is an equation of one of the vertical translations: , which of the graphs do you think it is? If you said the red one, you are correct.

Now, what do you think the equation of the blue graph is? If you said, , then you are correct again.

What does this lead us to any generalizations about how to make vertical translations with regard to our parent function? If you need a little more help, click here to start a movie of the parent function moving through vertical translations.

Now, we have hopefully come up with a generalization for our parent funcion, f(x) = |x|.

The Rule for Vertical Translations:

if y = f(x), then y = f(x) + k gives a vertical translation. The translation k moves the graph upward when k is a postive value and downward when k is negative value.

Here is an equation of one of the horizontal translations: , which of the graphs do you think it is? If you said the red one, you are correct.

Now, what do you think the equation of the blue graph is? If you said, , then you are correct again.

What does this lead us to any generalizations about how to make vertical translations with regard to our parent function? If you need a little more help, click here to start a movie of the parent function moving through horizontal translations.

Now, we have hopefully come up with a generalization for our parent funcion, f(x) = |x|.

The Rule for Horizontal Translations:

if y = f(x), then y = f(x-h) gives a vertical translation. The translation h moves the graph to the left when h is a postive value and to the right when h is a negative value.

Hope this helps, have a nice day/night! :D

If it helped, please mark as brainliest!

You might be interested in
Solve for f: 6f + 9g = 3g + f
andrezito [222]

Answer:

f= -(6/5)g

Explanation:

We have been given the expression 6f+9g = 3g+f

Solve for f means find the value of f

We will simplify the given expression:

we will collect the values of f at one side  and g on the other side

So, rewriting the given expression  6f+9g =3g+f  as 6f-f=3g-9g

So, after simplification it will lead to  5f= -6g

After further simplification f= -(6/5)g which is the final result


3 0
3 years ago
Read 2 more answers
The bottom of the ladder must be 3 feet from a wall the latter is 12feet long how far above the ground does the Ladder touch the
Oksanka [162]
Question : 
<span>The bottom of the ladder must be 3 feet from a wall the latter is 12feet long how far above the ground does the Ladder touch the wall
</span>
Answer :
<span>11.6ft
</span>
I hope it helps and please press brain
(^_-) Rie
3 0
3 years ago
Find the area of the figure<br><br>​
Lelu [443]

Answer:

area = 92 yd²

Step-by-step explanation:

13x8 = 104

3x8x0.5 = 12

104 - 12 = 92 yd²

7 0
3 years ago
Read 2 more answers
Find each square root
weqwewe [10]

Answer:

It actually gave you the answer.

Step-by-step explanation:

If you read closer, it's telling you the answer. It's giving you examples of radicals and such.

6 0
3 years ago
Unday by 11:59pm
goldfiish [28.3K]

Undefined (not a real number)

The square root of -256 would result in an imaginary number so by terms, it's "not real". The imaginary number would be 16i. 16x 16 =256, but since it's negative, it's √16 √16i.

6 0
2 years ago
Other questions:
  • Which whole number property is represented?
    8·2 answers
  • The infinite sequence 1, 6, 15, 28, 45, ... exhibits which pattern? multiply the term number by 2, subtract 1 from the result, m
    9·2 answers
  • It takes Josephine 60 minutes to walk 7 1/2 blocks.At This Rate How Many Blocks Can He Walk In 4 Hours.
    13·1 answer
  • What is the median?<br> -2 -3 8 -6 -9
    7·2 answers
  • Please help! Image attached!
    11·2 answers
  • These two polygons are similar. ​
    6·1 answer
  • I NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!
    8·1 answer
  • Pls help...mhdusbdhsj​
    10·1 answer
  • A statement that expresses one's feelings without blaming or judging other people, and helps open lines of communication is a(n)
    10·1 answer
  • How do I write 780,000 in scientific notation.
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!